Repairable Systems Analysis Reference Example - Revision history

Kate Racaza at 18:26, 28 September 2015

2015-09-28T18:26:03Z

← Older revision		Revision as of 18:26, 28 September 2015
Line 1:		Line 1:
	{{Reference Example\|{{Banner RGA Reference_Examples}}\|Repairable Systems Analysis}}		{{Reference Example\|{{Banner RGA Reference_Examples}}\|Repairable Systems Analysis}}
	This example ~~compares~~ the results for a repairable systems analysis.		This example validates the results for a repairable systems analysis in RGA.

2014-06-20T23:34:09Z

← Older revision		Revision as of 23:34, 20 June 2014
Line 1:		Line 1:
	{{Reference Example\|{{Banner RGA Reference_Examples}}}}		{{Reference Example\|{{Banner RGA Reference_Examples}}\|Repairable Systems Analysis}}
	This example compares the results for a repairable systems analysis.		This example compares the results for a repairable systems analysis.

2014-06-20T18:33:25Z

← Older revision		Revision as of 18:33, 20 June 2014
Line 7:		Line 7:
	Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.		Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.

	For this example, the ~~power law~~ model parameters will be calculated.		For this example, the Power Law model parameters will be calculated.

2014-06-19T17:26:51Z

← Older revision		Revision as of 17:26, 19 June 2014
Line 7:		Line 7:
	Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.		Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.

	For this example, ~~the parameters of~~ the power law model will be calculated.		For this example, the power law model parameters will be calculated.

2014-06-19T17:25:45Z

← Older revision		Revision as of 17:25, 19 June 2014
Line 7:		Line 7:
	Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.		Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.

	For this example, the ~~Parameters~~ of the ~~Crow-AMSAA (NHPP)~~ model will be calculated ~~using the power law model~~.		For this example, the parameters of the power law model will be calculated.

2014-06-19T17:24:54Z

← Older revision		Revision as of 17:24, 19 June 2014
Line 6:		Line 6:

	Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.		Crow, L.H., ''Reliability Analysis for Complex Repairable Systems'', Reliability and Biometry: Statistical Analysis of Lifelength, pg. 385, 1974.

			For this example, the Parameters of the Crow-AMSAA (NHPP) model will be calculated using the power law model.

2014-06-13T21:05:36Z

← Older revision		Revision as of 21:05, 13 June 2014
Line 71:		Line 71:

	::<math>\begin{align}		::<math>\begin{align}
	\hat{\lambda }=&\frac{{\underset{i=1}{\overset{N}{\mathop \sum }}N_{q}}}{KT^{\hat{\beta }}}\\		\hat{\lambda }=&\frac{{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}}{KT^{\hat{\beta }}}\\
	\\		\\
	=&0.4605		=&0.4605

2014-06-13T20:50:46Z

← Older revision		Revision as of 20:50, 13 June 2014
Line 64:		Line 64:

	::<math>\begin{align}		::<math>\begin{align}
	\hat{\beta} =&\frac{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}{\underset{q=1}{\overset{K}{\mathop \sum }}\underset{i=1}{\overset{N_{q}}{\mathop \sum }}\ln \left ( \frac{T}{X_{iq}} \right )}\\		\hat{\beta} =&\frac{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}{\underset{q=1}{\overset{K}{\mathop \sum }}\,\underset{i=1}{\overset{N_{q}}{\mathop \sum }}\ln \left ( \frac{T}{X_{iq}} \right )}\\
	\\		\\
	=&0.6153		=&0.6153

2014-06-13T20:42:46Z

← Older revision		Revision as of 20:42, 13 June 2014
Line 64:		Line 64:

	::<math>\begin{align}		::<math>\begin{align}
	\hat{\beta} =&\frac{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}{\underset{q=1}{\overset{K}{\mathop \sum }}\underset{i=1}{\overset{N^{q}}{\mathop \sum }}\ln \left ( \frac{T}{X_{iq}} \right )}\\		\hat{\beta} =&\frac{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}{\underset{q=1}{\overset{K}{\mathop \sum }}\underset{i=1}{\overset{N_{q}}{\mathop \sum }}\ln \left ( \frac{T}{X_{iq}} \right )}\\
	\\		\\
	=&0.6153		=&0.6153

2014-06-13T20:40:27Z

← Older revision		Revision as of 20:40, 13 June 2014
Line 64:		Line 64:

	::<math>\begin{align}		::<math>\begin{align}
	\hat{\beta }=&\frac{\~~sum_~~{q=1}^{K}N_{q}}{\~~sum_~~{q=1}^{K}\~~sum_~~{i=1}^{N_{q}}ln \left(\frac{T}{X_{iq}}\right)}\\		\hat{\beta} =&\frac{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}{\underset{q=1}{\overset{K}{\mathop \sum }}\underset{i=1}{\overset{N^{q}}{\mathop \sum }}\ln \left ( \frac{T}{X_{iq}} \right )}\\
	\\		\\
	=&0.6153		=&0.6153
	\end{align}\,\!</math>		\end{align}\,\!</math>




	~~::<math>\begin{align}~~
	~~=\frac{\underset{q=1}{\overset{K}{\mathop \sum }}N_{q}}{\underset{q=1}{\overset{K}{\mathop \sum }}\underset{i=1}{\overset{N^{q}}{\mathop \sum }}\ln \left ( \frac{T}{X_{iq}} \right )}~~
	~~\end{align}\,\!</math>~~